Information on Result #2421643
Linear OOA(2164, 112, F2, 2, 62) (dual of [(112, 2), 60, 63]-NRT-code), using strength reduction based on linear OOA(2164, 112, F2, 2, 63) (dual of [(112, 2), 60, 64]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(836, 28, F8, 2, 31) (dual of [(28, 2), 20, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,24P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- linear OA(21, 4, F2, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OOA(836, 28, F8, 2, 31) (dual of [(28, 2), 20, 32]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2166, 113, F2, 2, 62) (dual of [(113, 2), 60, 63]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2170, 115, F2, 2, 62) (dual of [(115, 2), 60, 63]-NRT-code) | [i] | ||
| 3 | Linear OOA(2172, 116, F2, 2, 62) (dual of [(116, 2), 60, 63]-NRT-code) | [i] | ||
| 4 | Linear OOA(2165, 112, F2, 2, 62) (dual of [(112, 2), 59, 63]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2164, 56, F2, 4, 62) (dual of [(56, 4), 60, 63]-NRT-code) | [i] | OOA Folding | |